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340210113423440 = 245133374871993219
BaseRepresentation
bin100110101011010110101011…
…0111101011010100001010000
31122121120202202202100102111112
41031112231112331122201100
5324043000303014022230
63203322211332232452
7131442240522263261
oct11526552675324120
91577522682312445
10340210113423440
119944633184a487
12321a6bba76b728
13117aa8a333c570
14600238623c968
15294e9a4814d95
hex1356b56f5a850

340210113423440 has 160 divisors (see below), whose sum is σ = 856116245886720. Its totient is φ = 124986058186752.

The previous prime is 340210113423419. The next prime is 340210113423449. The reversal of 340210113423440 is 44324311012043.

It is a junction number, because it is equal to n+sod(n) for n = 340210113423397 and 340210113423406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340210113423449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169687151 + ... + 171680369.

It is an arithmetic number, because the mean of its divisors is an integer number (5350726536792).

Almost surely, 2340210113423440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340210113423440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428058122943360).

340210113423440 is an abundant number, since it is smaller than the sum of its proper divisors (515906132463280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

340210113423440 is a wasteful number, since it uses less digits than its factorization.

340210113423440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994069 (or 1994063 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 340210113423440 its reverse (44324311012043), we get a palindrome (384534424435483).

The spelling of 340210113423440 in words is "three hundred forty trillion, two hundred ten billion, one hundred thirteen million, four hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 337 487 520 674 974 1040 1348 1685 1948 2435 2696 3370 3896 4381 4870 5392 6331 6740 7792 8762 9740 12662 13480 17524 19480 21905 25324 26960 31655 35048 38960 43810 50648 63310 70096 87620 101296 126620 164119 175240 253240 328238 350480 506480 656476 820595 1312952 1641190 1993219 2133547 2625904 3282380 3986438 4267094 6564760 7972876 8534188 9966095 10667735 13129520 15945752 17068376 19932190 21335470 25911847 31891504 34136752 39864380 42670940 51823694 79728760 85341880 103647388 129559235 159457520 170683760 207294776 259118470 414589552 518236940 671714803 970697653 1036473880 1343429606 1941395306 2072947760 2686859212 3358574015 3882790612 4853488265 5373718424 6717148030 7765581224 8732292439 9706976530 10747436848 12619069489 13434296060 15531162448 17464584878 19413953060 25238138978 26868592120 34929169756 38827906120 43661462195 50476277956 53737184240 63095347445 69858339512 77655812240 87322924390 100952555912 126190694890 139716679024 174645848780 201905111824 252381389780 327125109061 349291697560 504762779560 654250218122 698583395120 1009525559120 1308500436244 1635625545305 2617000872488 3271251090610 4252626417793 5234001744976 6542502181220 8505252835586 13085004362440 17010505671172 21263132088965 26170008724880 34021011342344 42526264177930 68042022684688 85052528355860 170105056711720 340210113423440